The Effect of Mechanical Stress and Electric Field on the Morphotropic Tetragonal and Rhombohedr Phase Boundary in PZT System : Thermodynamic Consideration

PZT계의 정방정상과 능면체정상의 경계조성에 대한 기계적 응력과 전기장의 영향 : 열역학적 고찰

  • 천채일 (호서대학교 재료공학과) ;
  • 김호기 (한국과학기술원 무리재료공학과)
  • Published : 1993.10.01

Abstract

Morphotropic tetragonal and rhombohederal phase boundary(MPB) in PZT system was calculated and the effect of mechanical stress and electric field on the MPB was examined using phenomenological thermodynamic theory proposed by Devonshire. Mechanical stress and electric field was calculated to change free energies of phases and shift MPB. The stable composition range of the phase, of which spontaneous strain and spontaneous polarization aligned to the direction of tensile stress or electirc field, was expanded.

Keywords

References

  1. Piezoelectric Ceramics B. Jaffe;W.R. Cook;H. Jaffe
  2. Ferroelectrics v.81 The Influence of Hydrostatic Pressure on the Dielectric Properties of Pb(ZrT₁)O₃Solutions from the Morphotropic Region M. Pisarski
  3. Ferroelectrics v.22 X-ray Study of PZT Solid Solutions in the Tetragonal-Rhombohedral Phase Transition Composition Area V.A. Saley;Yu.A. Ponomaryev;V.V. Klimov;Yu M. Poplavko
  4. J. Am. Ceram. Soc v.65 no.10 Sluggish Transition Between Tetragonal and Rhombohedral Phases Pb(Zr, T₁)O₃Prepared by Application of Electric Field K. Kakegawa;J. Mohri;S Shirasaki;K. Takahashi
  5. Phys. Rev B v.34 no.3 Effect of Elastic Boundary Conditions on Morphotropic Pb(Zr, Ti)O₃Piezoelectrics A. Amim;N.E Newnham;L.E. Cross
  6. Dept. Mat. Sci. & Eng. Jong-In Im
  7. Ferroelectrics v.46 Some Aspect of the Physics of Piezoelectric Ceramics V.A. Isupov
  8. Ferroelectrics v.76 Shift of Morphotropic Phase Boundary in the PZT System under the Influence of Electric Field and Uniaxial Stress S. Stotz
  9. Phil. Mag. v.40 Theory of Barium Titanate-Part I. A.F. Devonshire
  10. Phil. Mag v.42 Theory of Barium Titanate-Part II. A.F. Devonshire
  11. Advances in Physics v.3 no.10 Theory of Ferroelectrics A.F. Devonshire
  12. Sov. Phys Solid State v.12 no.5 Dielectric Polarization of PbTiO₃-PbZrO₃Solid Solutions V.A. Isupov
  13. J Am Ceram. Soc. v.49 no.1 Phenomenological Theory of High Permittivity in Fine-Grained Barium Titanate W.R. Buessem;L.E. Cross;A.K. Goswami
  14. J. Am Ceram Soc. v.49 no.1 Effect of Two-Dimensional Pressure on the Permittivity of Fine- and Coarse-Grained Barium Titanate W.R. Buessem;L.E. Cross;A.K. Goswami
  15. Ferroelectrics v.54 The Effect of Grain Size on the Permittivity of BaTiO₃ A.J. Bell;A.J. Moulson;L.E. Cross
  16. Ferroelectrics v.37 Temperature Coefficient of Resonance Frequencies and Permittivity in PZT Ceramic near the Morphotropic Phase Boundary W. Wersing
  17. Ferrolectrics v.59 A Phenomenological Gibbs Function for BaTiO₃Giving Correct E Field Dependence of All Ferroelectric Phase Changes A.J Bell;L.E. Cross
  18. Ferroelectrics v.87 Phenomenological Description of Stress Related Grain Boundary Preperties in Semiconducting Perovskites A. Amin
  19. J. Am. Ceram Soc. v.72 no.3 Piezoresistivity in Semiconducting Positive Temperature Coefficient Ceramics A Amin
  20. Ferroelectrics v.54 Ferroelectric Phase Transitions in Substituted Barium Titanate and Lead Zirconate Titanate W. Wersing
  21. Phys Stat. Sol. (a) v.8 On the Origin of the Maximum in the Electromechanical Activity in Pb($Zr_x$-Ti₁-$_x$)O₃Ceramics near the Morphotropic Phase Boundary K Carl;K.H. Hardtle
  22. Solid State Commun. v.11 Thermodynamic Theory of the Morphotropic Phase Transition Tetragonal-Rhombohedral in the Perovskite Ferroelectrics L. Benguigui
  23. Ferroelectrics v.31 Thermodynamic Analysis of Conditions of the Morphotropic Phase Boundary Existence in the Lead Zirconate Titanate Solid Solutions V A. Isupov
  24. Ferroelectrics v.65 A Phenomenological Gibbs Function for Single Cell Region of the PbZrO₃:PbTiO₃Solid Solution System A.Amin;M.J. Haun;B. Badger;H. Mckinstry;L.E. Cross
  25. Ferroelectrics v.99 Thermodynamic Theory of the Lead Zirconate-Titanate Solid Solution System, Part I: Phenomenology M.J. Haun;E. Furman;S.J. Jang;L.E. Cross
  26. Ferroelectrics v.99 Thermodynamic Theory of the Lead Zirconate-Titanate Solid Solution System, Part II: Tricritical Behavior M.J. Haun;E. Furman;H A. Mckinstry;L.E. Cross
  27. Ferroelectrics v.99 Thermodynamic Theory of the Lead Zirconate-Titanate Solid Solution System, Part Ⅲ: Curie Constant and Sixth-Order Polarization Interaction Dielectric Stiffness Coefficients M.J. Haun;Z.Q. Zhuang;E. Furman;S.J. Jang;L.E. Cross
  28. Ferroelectrics v.99 Thermodynamic Theory of the Lead Zirconate-Titanate Solid Solution System, Part IV : Tilting of the Oxygen Octahedra M J. Haun;E. Furman;T.R. Halemane;L.E. Cross
  29. Ferroelectrics v.99 Thermodynamic Theory of the Lead Zirconate-Titanate Solid Solution System, Part V: Theoretical Calculations M.J. Haun;E. Furman;S J. Jang;L.E. Cross
  30. Ferroelectrics v.87 Calculations Concerning the Phase Diagram, Dielectric Constant and Lattice Parameters for the Pb($Zn_⅓$$Nb_⅔$)O₃-PbTiO₃Solid Solution K. Abe;O. Furukawa;H. Imagawa
  31. Proc. IRE v.48 no.2 Piezoelectric Properties of Polycrystalline Lead Titanate Zirconate Compositions D.A. Berlincourt;C. Cmolik;H. Jaffe